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Finding the Fourth Proportional to 137.17, 205.35 and 82.90

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Solution

The fourth proportional to 137.17, 205.35 and 82.90 is: 124.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.17 : 205.35 = 82.90 : x
  2. Step 2: Convert to fraction form
    137.17/205.35 = 82.90/x
  3. Step 3: Cross multiply
    137.17x = 205.35 × 82.90
  4. Step 4: Simplify right side
    137.17x = 17,023.10
  5. Step 5: Solve for x
    x = 17,023.10/137.17
  6. Step 6: Final answer
    x = 124.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.